2
votes
0answers
72 views

Portfolio insurance with a coherent risk measure (CVaR)

I would like to analysis of portfolio insurance under a coherent risk-measure method (CVaR), How can I achieve that? Is there a way to turn the problem into a linear programming problem? or to ...
2
votes
0answers
82 views

What does it mean to adjust for short-run liquidity in finding risk-free rate of return

Risk-free rate of return should equal the expected long-run growth rate of the economy with an adjustment for short-run liquidity. What is meant by the last phrase, "adjustment for short-run ...
1
vote
0answers
239 views

Interpolate option volatility in delta space in R

I have a bunch of deltas and option implied vols at those deltas. I would like to interpolate them in R. Interpolating them in delta space seems difficult, since normally you would like the ATM calls ...
1
vote
2answers
206 views

BSYM for historical tickers

When looking through Bloomberg's BSYM data ADR and Common Stock data (5/2/13), I was able to find the ticker symbol 'V' associated with Visa but was unable to find any record for Vivendi, which I ...
3
votes
0answers
387 views

How to determine ratios for mean-reverting basket

Suppose I have a basket of 3 securities A, B, and C. I believe that the basket is cointegrated and I want to create a mean-reverting trade. I fit the model: ...
3
votes
0answers
124 views

RQuantLib: any difference between FixedRateBond() and FixedRateBondPriceByYield() with flat term structure?

Please, consider the following functions from RQuantLib package: FixedRateBond() ...
8
votes
1answer
416 views

Bond curve extrapolation

What are the best methods to extrapolate bond yields from an existing curve that doesn't extend quite this far? For example, how would one come about finding a theoretical bond yield for a 40 or 50 ...
4
votes
5answers
2k views

Call vs. Put Option

I have two interrelated questions that have been bothering me for some time. I have read all the stuff online and it still doesn't make sense to me: Let us assume: 0% interest rate (both hedge ...
0
votes
1answer
10k views

How to calculate unlevered beta

I have derived a firm's cost of equity using the WACC formula (see here), which means that the cost of equity has factored in the firms' debt (i.e. levered beta) and now I need to calculate the firm's ...
0
votes
2answers
2k views

How to use PCA for trading

Can anyone give me a few pointers of how to approach using PCA for trading? In particular, it seems to me, PCA is useful for selecting a subset of a portfolio of stocks(or other) rather than trading ...
1
vote
2answers
410 views

Black Scholes Formula for Collar Option

I am wondering if there exists a Black Scholes pricing formula for a collar option?
2
votes
0answers
236 views

Philips-Ouliaris test for cointegration

I'm trying to implement cointegration tests using the R urca package. I've figured out the Johansen test (ca.jo), but I'm having trouble with the Philips-Ouliaris test (ca.po). I have two questions: ...
4
votes
1answer
308 views

analyze strategy performance with given matrix of weights/time and weekly returns in R

I have a matrix of 259 weekly returns, 50 assets and a portfolio composition for each of the 259 weeks. I would like to test the performance of the portfolio during 52 weeks, rebalancing every 12 ...
0
votes
0answers
208 views

Volatility of a rolling window strategy

What methods can be applied to determine the volatility of strategy using a rolling window? Using normal standard deviation would bias the results as the returns will be highly correlated. Although, ...
1
vote
0answers
78 views

How to measure if variance is greater at a certain time of day?

I'm not very fluent in the quant vernacular, so perhaps the nature of my question will be better illustrated as a hypothesis. One market has closed and another market elsewhere on Spaceship Earth is ...
2
votes
1answer
215 views

How to measure contango?

Is there any unit of measure for the magnitude of the contango (or backwardation) for futures, so you can compare the contango of many symbols.
2
votes
0answers
187 views

Error term/Innovation process in ARCH/GARCH processes?

I am wondering about the distribution of the error term/innovation process in a ARCH/GARCH process and its implementation, I am not sure about some points. The basic assumption is ...
2
votes
2answers
217 views

Time Varying Volatility

If stock returns ($r_t$) are not auto correlated why is that the squared term of the returns (volatility) exhibit serial correlation? Does heteroskedacity, by its nature, imply that time varying ...
1
vote
1answer
114 views

How does one use the Johansen cointegration test in a linear time series model?

How does one use the Johansen cointegration test in a linear time series model? Should I only use normalized coeffients for interpretation? Or, once I know that the variables are cointegrated, do I ...
2
votes
0answers
62 views

Is there an appropriate sequence to tests during model diagnosis?

How should one order (sequence) the following tests? Stationarity test Johansen cointegration test Normality/Histogram test Autocorrelation test Heteroskedasticity test Multicollinearity test ...
5
votes
1answer
764 views

Implied dividend estimation

I am looking at two different ways of estimating the expected / implied dividends from market data. 1. Dividend futures I know that this asset class is not very liquid and might not be ...
2
votes
1answer
553 views

What exactly is an ISO order?

I have been looking this up and I feel like I keep running into different definitions. My understanding is that an ISO order is one which will get filled with the displayed quantity in a particular ...
2
votes
0answers
169 views

How replicate data using PCA

I have a set of date covering petrol prices. My example has two columns where each row represents a sequential date. ...
2
votes
1answer
118 views

Hedging differences between equity and index options?

Suppose we hedge an index option using futures on that index. How would the hedging strategy be different if the underlying could be traded directly (from a risk point of view)?
2
votes
0answers
291 views

How does Hanson's Market Maker (LMSR) work?

Implementing Hanson's Market Maker states: If the market maker wants to quote a "current price", he can. The current price for outcome 1 is: $$ \mbox{price1} = ...
4
votes
2answers
2k views

What is the difference between convertible bond and bond with warrant?

One site suggested the difference is that the warrant in the bond with warrant is a fixed price on company stock. E.g. for a \$1000 bond, you can buy 500 shares at \$2 each. And that convertible bonds ...
5
votes
1answer
2k views

How to simulate correlated Geometric brownian motion for n assets?

So I'm trying to simulate currency movements for several currencies with a given correlation matrix. I have the initial price, drift and volatility for each of the separate currencies, and I want to ...
2
votes
2answers
404 views

Trading days or calendar days for Black-Scholes parameters?

Black-Scholes requires volatility estimated in trading days. How does this affect other parameters? Specifically, should the time-to-expiration also be in trading days? And how does this affect the ...
3
votes
2answers
245 views

Transformation to reduce standard deviation without changing median

Consider some negative skew and high kurtosis return time-series $X_t$. I do not know the functional form of the pdf of $X_t$ and have about 150,000 data points. Suppose that I was to create an ...
4
votes
5answers
549 views

In Black-Scholes, why is $\log{\frac{S_{t+\triangle t}}{S_t}} \sim \phi{((\mu - \frac{1}{2}\sigma^2)\triangle t, \sigma^2 \triangle t)}$?

Namely, I dont understand why the mean is $(\mu - \frac{1}{2}\sigma^2)\triangle t$ and not just $\mu \triangle t$. I am aware that it is supposed to represent a lognormal distribution, but I guess I'm ...
2
votes
2answers
564 views

Calculating Geometric mean

I need to annualize daily returns for about 120 firms for over a period of 10 years. I chose to calculate the geometric return because 1) it is the actual return 2) to avoid the asymmetric effect of ...
3
votes
5answers
2k views

Convexity adjustment for a forward swap rate

I recently heard that for a forward swap rate (for example, the fixed rate of a swap that will start in one year and end in five years), I need to do a convexity adjustment in order to get the right ...
2
votes
3answers
798 views

How is historical data for forex collected or computed?

I'm looking at four sources of forex data, as compiled in the question, What data sources are available online? And I think I must be misunderstanding something, perhaps something fundamental, but I'm ...
2
votes
0answers
83 views

Industry factors without GICS

I'm working through the Quantitative Equity Portfolio Management book by Chincarini and Kim. I'd like to build a basic industry-based fundamental factor model. As this is a pet project for ...
0
votes
0answers
68 views

Mean-variance minimizser

I am working on a project that involves pricing european call options in incomplete markets. Now I need to find a unique measure $Q^*$ such that $$Q^* = \min_{M_e} E_Q [V(T)-F(w)]^2 = \min_{u} E_Q ...
1
vote
0answers
496 views

portfolio optimization with a loop

I am attempting to minimize the variance of a 3 stock portfolio using optimization within a loop. What I have done is calculated the stock returns and cov matrix from dates 1980-01-01 to 1989-12-31 ...
0
votes
0answers
64 views

How to Maximise Efficiency With hp12c gold calculator

I would like to calculate the net present value of a loan schedule or an equation of value. e.g. "For an investor receives R1 000 after 2 years, R2 000 after 5 years and R4000 after 7 years, how much ...
1
vote
1answer
295 views

How is the MESA sine wave calculated?

I've found many, many sites which describe what the MESA sine wave looks like and how to interpret it. But I have yet to find any site that describes the actual formula used to calculate the sine ...
2
votes
2answers
2k views

Cointegration tests

I'm trying to figure out how to perform cointegration tests in R between 2 time series. I'm using po.test from the package ...
2
votes
2answers
162 views

How to synchronize put and call option-data?

I recently retrieved a large amount of European option data, for call and put prices, from OptionMetrics. Doing so for the same time period I get a file consisting of 62558 rows of call prices & ...
0
votes
1answer
3k views

Calculating spot rate of interest

You are given the following information regarding the domestic government fixed-interest bond market: The current price of a one-year bond paying coupons at a rate of $4.5$% per annum and redeemed ...
10
votes
4answers
733 views

Resources for finding scholarly research on topics in quantitative finance?

A friend and I have taken up an interest in quantitative finance, and we're pretty much starting from scratch—neither of us have backgrounds in finance, but rather electrical engineering and ...
5
votes
1answer
1k views

Longstaff-Schwartz (Least Squares Monte Carlo) applied to American Options

I'm working on an implementation in R of Longstaff & Schwartz method from the this 2001 article. I've managed to build code that replicates their prices in table 1 (p. 127), but only for the ones ...
8
votes
3answers
913 views

how do you evaluate an FX market EMS?

My firm is investigating FX EMS systems to see if we can reduce execution costs for our trading strategies that involve FX (not low latency). The liquidity providers are a few major banks. We're ...
3
votes
1answer
103 views

Can Central Index Keys (CIKs) issued by the SEC be reassigned?

Suppose company A has CIK 0000012345 and ceases to exist. At some later time, company B registers with the SEC to submit filings. Is it possible that company B will be assigned the same CIK ...
5
votes
3answers
5k views

Implied Volatility Calculation

We all know if you back out of the BS option pricing model you can derive and solve what the options is "implying" as its volatility. However, what is the formula used to derive IV (can anyone direct ...
5
votes
0answers
171 views

Stress testing covariance

Going one level beyond stressed scenarios, to parameters e.g. for a VaR measure: what are the most common approaches for stressing a covariance/correlation matrix, especially taking portfolio exposure ...
2
votes
1answer
226 views

Using cointegration to prove that a long-short strategy is market neutral (in CAPM sense)

I am trying to prove that a long-short strategy invested according to the cointegrated relationship from Engle-Granger's. So essentially I'm trying to show that the return $r_{XY}$ of the portfolio (X ...
2
votes
1answer
108 views

How are option expiration dates decided?

I looked at the CBOE website and they say the expiration is the Saturday following the third Friday of each month. However, I look up an options chain for Google, for example, and I see three ...
5
votes
2answers
660 views

Best tool to generate cashflow diagrams

I often have to generate cashflow diagrams. I was wondering if anyone has a good tool to generate them in either $\LaTeX$ or a picture?

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